Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media

DOI10.1016/j.nonrwa.2020.103223zbMath1454.80009OpenAlexW3089838703MaRDI QIDQ2215512

Marcos R. Batista, Jesus C. Da Mota

Publication date: 13 December 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103223

zbMATH Keywords

upper and lower solutionscombustionreaction-diffusion-convection systemmultilayer porous medium

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Combustion (80A25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (3)

Extremal mild solutions to Hilfer evolution equations with non-instantaneous impulses and nonlocal conditions ⋮ Extremal mild solutions to fractional delay integro-differential equations with non-instantaneous impulses ⋮ Classical solution for a nonlinear hybrid system modeling combustion in a multilayer porous medium

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An application of the monotone iterative method to a combustion problem in porous media
• Combustion fronts in a porous medium with two layers
• The Cauchy problem for a combustion model in a porous medium with two layers
• Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media
• Recent Mathematical Results on Combustion in Hydraulically Resistant Porous Media
• Gasless Combustion Fronts with Heat Loss
• Combustion Fronts in Porous Media
• Multiple Traveling Waves for Dry Forward Combustion Through a Porous Medium

This page was built for publication: Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media